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Finding the Fourth Proportional to 515,671.82, 711,616.08 and 286,215.73

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Solution

The fourth proportional to 515,671.82, 711,616.08 and 286,215.73 is: 394,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,671.82 : 711,616.08 = 286,215.73 : x
  2. Step 2: Convert to fraction form
    515,671.82/711,616.08 = 286,215.73/x
  3. Step 3: Cross multiply
    515,671.82x = 711,616.08 × 286,215.73
  4. Step 4: Simplify right side
    515,671.82x = 203,675,715,111.21
  5. Step 5: Solve for x
    x = 203,675,715,111.21/515,671.82
  6. Step 6: Final answer
    x = 394,971.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.